Shallow water equations with a complete Coriolis force and topography
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Publication:3557304
DOI10.1063/1.2116747zbMath1188.76039OpenAlexW2024240547MaRDI QIDQ3557304
Publication date: 22 April 2010
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/354a95d8351533418c26b5d0792816619c8212ee
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Cites Work
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- The Hamiltonian structure for dynamic free boundary problems
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Long-time effects of bottom topography in shallow water
- Hamiltonian description of the ideal fluid
- Variation Principles of Hydrodynamics
- Hamiltonian theory of relativistic magnetohydrodynamics with anisotropic pressure
- Hamiltonian structure for two-dimensional hydrodynamics with nonlinear dispersion
- Lyapunov stability of ideal stratified fluid equilibria in hydrostatic balance
- Long-time shallow-water equations with a varying bottom
- Different approximations of shallow fluid flow over an obstacle
- Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation